Determine Whether F Is Conservative $\mathbf { F } = \nabla f .$

Determine whether F is conservative. If so, find a function f such that $\mathbf { F } = \nabla f .$ . $\mathbf { F } ( x , y , z ) = ( 6 \sinh 2 z ) \mathbf { i } + \left( 3 e ^ { 5 z } \cos 3 y \right) \mathbf { j } + ( 12 x \cosh 2 z ) \mathbf { k }$

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The vector field

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